| THE WEINSTEIN CONJECTURE ON C~1-SMOOTH HYPERSURFACE OF CONTACT TYPE |
| |
| 引用本文： | 卢广存. THE WEINSTEIN CONJECTURE ON C~1-SMOOTH HYPERSURFACE OF CONTACT TYPE[J]. 数学物理学报(B辑英文版), 2002, 22(4) |
| |
| 作者姓名： | 卢广存 |
| |
| 作者单位： | Lu Guangcun Department of Mathematics，Beijing Normal University，Beijing 100875，China |
| |
| 基金项目： | Supported by the NNSF of China（19971045），the MCF of Chinese University |
| |
| 摘 要： | In this note a symplectic capacity of Hofer-Zehnder type that is only invariant under C1-symplectomorphisms is defined and all computation formulae for Hofer-Zehnder symplectic capacity obtained at present are proved still holding for it. As a consequence some results on Weinstein conjecture are generalized to C1-smooth hypersurface of contact type.
|
THE WEINSTEIN CONJECTURE ON C1-SMOOTH HYPERSURFACE OF CONTACT TYPE |
| |
| Lu Guangcun. THE WEINSTEIN CONJECTURE ON C1-SMOOTH HYPERSURFACE OF CONTACT TYPE[J]. Acta Mathematica Scientia, 2002, 22(4) |
| |
| Authors: | Lu Guangcun |
| |
| Affiliation: | Lu Guangcun Department of Mathematics,Beijing Normal University,Beijing 100875,China |
| |
| Abstract: | In this note a symplectic capacity of Hofer-Zehnder type that is only invariant under C1-symplectomorphisms is defined and all computation formulae for Hofer-Zehnder symplectic capacity obtained at present are proved still holding for it. As a consequence some results on Weinstein conjecture are generalized to C1-smooth hypersurface of contact type. |
| |
| Keywords: | Hofer-Zehnder symplectic capacity Weinstein conjecture |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
